MABS 21 2010 Israel THE SHAPE OF THE BLAST WAVE: STUDIES OF THE FRIEDLANDER EQUATION by John M. Dewey Dewey McMillin & Associates 1741 Feltham Road, Victoria.

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Presentation transcript:

MABS Israel THE SHAPE OF THE BLAST WAVE: STUDIES OF THE FRIEDLANDER EQUATION by John M. Dewey Dewey McMillin & Associates 1741 Feltham Road, Victoria BC Canada (

MABS Israel Characteristic Shape t t+t+ t+t+ PsPs

MABS Israel Friedlander 1946 Friedlander suggested that the classic pressure time-history could be described by

MABS Israel Press. vs Time 523.5m SB ANFO kt (MINOR UNCLE)

MABS Israel Friedlander Fit

MABS Israel Density vs Time

MABS Israel Total (Pitot) Pressure vs Time

MABS Israel Dynamic Pressure (½ρu 2 ) vs Time

MABS Israel Friedlander Fails at Higher Overpressures

MABS Israel Modified Friedlander Equation Additional coefficient α

MABS Israel Properties of Friedlander Equation Impulse in positive phase

MABS Israel Properties of Friedlander Equation Total Impulse

MABS Israel Properties of Friedlander Equation Minimum Pressure

MABS Israel Blast Wave Profile

MABS Israel Blast Wave Profile Low Overpressures

MABS Israel Particle Tracer Photogrammetry

MABS Israel Spherical Piston Path MISERS GOLD KT ANFO SURFACE BURST

MABS Israel Friedlander Fit to Piston Path

MABS Israel Conclusions 1.The time histories of the physical properties of centered blast waves are well described by the Friedlander equation at peak overpressures less than 1 atm. 2. The wave profiles of the physical properties are well described by the Friedlander equation at peak overpressures greater than 1 atm.

MABS Israel Conclusions 3.The trajectory of the spherical piston that drives a centered blast wave has the form of the Friedlander equation 4. Are there physical reasons why it should be expected that a point source release of energy would generate a spherical piston path of this shape?

MABS Israel

Properties of Friedlander Equation Relaxation Time t *